For each statement below state what needs to be proven in order to show that the existential statement is false. Your response should be a universal statement.
a. There exists a negative integer that is equal to its square.
b. There exists an integer that is smaller than every other integer.
c. There are two distinct positive integers x and y such that 1x+1y is an integer.
d. There are positive integers m and n such that
Answers
a. To prove that the existential statement is false, it needs to be proven universally that no negative integer is equal to its square. b. To prove that the existential statement is false, it needs to be proven universally that there is no integer smaller than every other integer. c. To prove that the existential statement is false, it needs to be proven universally that for all distinct positive integers x and y, 1x + 1y is not an integer.
a. To prove that the existential statement "There exists a negative integer that is equal to its square" is false, we need to show a universal statement that states "For all negative integers, none of them are equal to their square."
b. To prove that the existential statement "There exists an integer that is smaller than every other integer" is false, we need to show a universal statement that states "For all integers, there does not exist an integer that is smaller than every other integer."
c. To prove that the existential statement "There are two distinct positive integers x and y such that 1x+1y is an integer" is false, we need to show a universal statement that states "For all distinct positive integers x and y, 1x + 1y is not an integer."
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Related Questions
HELP PLEASE MATH IS HARD
The box plot displays the number of flowers planted in a town last summer. A box plot uses a number line from 6 to 21 with tick marks every one-half unit. The box extends from 10 to 15 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 20. The graph is titled Flowers Planted In Town, and the line is labeled Number of Flowers. Which of the following is the best measure of center for the data shown, and what is that value? The mean is the best measure of center and equals 11. The mean is the best measure of center and equals 12. The median is the best measure of center and equals 11. The median is the best measure of center and equals 12.
Answers
After answering the presented question, we can conclude that thus, the equation correct answer is: The median, which equals 11, is the best measure of center.
What box plot represent?The box plot depicts the distribution of the quantity of flowers planted in a town last summer based on the information provided. The box spans the number line from 10 to 15, with a line at 11 inside the box and lines outside the box ending at 7 and 20.
The median is depicted by the line in the box, which is positioned at 11 in the box plot. As a result, the median is the best measure of center for the data provided, and its value is 11.
Thus, the correct answer is: The median, which equals 11, is the best measure of center.
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What steps are used to solve this equation?
6f = 48
Complete each statement.
First, _____
on both sides of the equation.
Next, simplify the equation to determine that the solution of the equation is
.
Check the solution by substituting
for f and simplifying.
Answers
Answer:
What steps are used to solve this equation?
6f = 48
Complete each statement.
First,
✔ divide by 6
on both sides of the equation.
Next, simplify the equation to determine that the solution of the equation is
✔ f = 8
.
Check the solution by substituting
✔ 8
for f and simplifying.
Step-by-step explanation:
The solution of the given equation would be 8.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between.
A system of equations is two or more equations that can be solved to get a unique solution and the power of the equation must be in one degree.
We are given the equation as;
6f = 48
We have to Complete each statement.
First, divide by 6 into both sides of the equation.
f = 48/6
Next, simplify the equation to determine that the solution of the equation is
f = 8
Check the solution by substituting for f and simplifying.
6 x8 = 48
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If the number 180 is written as the product of its prime factors in the form a²b²c, what is the numerical value of a + b + c, where c = 5 and a and b do not equal 1? A. 10 B. 16 C. 17 D. 22
Answers
The numerical value of a + b + c is 10(option a).
To find the prime factorization of 180, we start by dividing it by the smallest prime number, which is 2. We get:
180 ÷ 2 = 90
So 2 is a prime factor of 180. We continue dividing 90 by 2 until we can no longer divide by 2:
90 ÷ 2 = 45
45 ÷ 2 = 22.5 (not a whole number)
So we move on to the next smallest prime number, which is 3. We divide 45 by 3:
45 ÷ 3 = 15
Now we divide 15 by 3:
15 ÷ 3 = 5
Since 5 is a prime number, we can stop dividing. We have found the prime factorization of 180:
180 = 2 × 2 × 3 × 3 × 5
To express this in the form a²b²c, we group the prime factors in pairs of 2s and 3s:
180 = (2²) × (3²) × 5
Now we can see that a = 2, b = 3, and c = 5. We add them up to get:
a + b + c = 2 + 3 + 5 = 10
Hence the answer is A.
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darwin's geometric ratio of increase pertains specifically to
Answers
Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.
In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.
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ANSWER WITHOUT A LINK
Answers
Answer:
3.9 (so about 4)
Step-by-step explanation:
3.9 is 13% of 30 :)
Pls answer ASAP I need by end of day #1
Answers
Answer:
m<A = 90° - m<B
(AB)^2 = (AC)^2 + (BC)^2
sin A = cos B
if <A = <B, then m<A = 45°
Answer:
Step-by-step explanation:
∠A+∠B=90 complementary angles ( the sum equal 90°)
∠A=90 degrees-∠B
tan A=sinA/cos A
AB²= AC² +BC² (Pythagorean theorem)
if angle A=angle B then the angles are 45 degrees
cos A=sin(90-A)
sin (a - b) = sin a.cos b - sin b.cos a
sin(90-A)=sin90.cosA-sinbAcos90 cos 90=0 and sin 90=1
sin(90-A)=1*cosA
sin(90-A)=cosA
the ones are in bold are right
How would a child use addition to find 8 X 2?
Answers
Answer:
16
Step-by-step explanation:
They would do 8+8 to get their answer
Given f(x) = 3 and g(x) = cos(x). What is Limit of left-bracket f (x) minus g (x) right-bracket as x approaches negative pi?
Answers
Answer:
C
cos pie= -1
so (3-(-1)=3+1=4
Step-by-step explanation:
The area of a rectangle is 168 cm^2. The rectangle has a perimeter of 52 cm. What are the dimensions of the quadrilateral?
Answers
Answer:
12 cm by 14 cm
Step-by-step explanation:
The area is given by ...
A = LW
The perimeter is given by ...
P = 2(L +W)
Substituting the given values, we have ...
168 = LW
52 = 2(L +W)
The second equation can be used to find an expression for L:
26 = L +W . . . . . divide by 2
L = 26 -W . . . . . subtract W
Using this in the first equation, we have ...
168 = (26 -W)(W)
W² -26W +168 = 0
Factors of 168 are ...
168 = (-1)(-168) = (-2)(-84) = (-3)(-56) = (-4)(-42) = (-6)(-28) = (-7)(-24)
= (-8)(-21) = (-12)(-14)
Only the last factor pair (-12, -14) has a sum of -26, so the equation factors as ...
(W -12)(W -14) = 0
Solutions are W=12, and W=14. The corresponding values of L are 14 and 12.
The quadrilateral has dimensions of 12 cm and 14 cm.
I love school so much that I always get straight A's. If any of y'all need help...Im here!
Answers
The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
Answers
The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data
How to explain the informationThe answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.
In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.
Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.
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drag each tile to the correct box. a company employs 650 people and wishes to survey a sample of its employees about the company culture. to avoid bias in the survey, the human resources director creates a list of all the employees and randomly selects 150 of them to complete the survey. which description matches each term? the 650 employees in the
Answers
To avoid bias in the survey, the human resources director creates a list of all the employees and randomly selects 150 of them to complete the survey.
In this scenario, we have a company that employs 650 people and wishes to survey a sample of its employees about the company culture. Let's match each term with its corresponding description:
1. Population: The population refers to the entire group of individuals that the survey aims to represent. In this case, the population is the total number of employees in the company, which is 650.
2. Sample: A sample is a subset of the population that is selected for data collection and analysis. It represents a smaller portion of the population. In this scenario, the sample consists of the 150 employees randomly selected by the human resources director.
3. Random Selection: Random selection is the process of choosing individuals from the population in a way that ensures each member has an equal chance of being included in the sample. By randomly selecting the 150 employees, the human resources director avoids bias and increases the likelihood that the sample represents the entire population.
4. Survey: A survey is a data collection method used to gather information from individuals within the sample. In this case, the selected employees will be asked to complete a survey about the company culture.
By randomly selecting 150 employees from the total population of 650, the company aims to create a sample that is representative of the entire workforce. This helps to avoid bias and increase the generalizability of the survey findings. The survey responses from the selected employees will provide insights into the company culture, which can then be used to make informed decisions or improvements. It's important to note that the quality of the survey and the representativeness of the sample can impact the validity and reliability of the survey results. Therefore, careful consideration should be given to the sampling method and survey design to ensure accurate and meaningful findings.
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Zoey is having a party for 10 friends.2 If each friend eats 1/2 pounds of chips, how many pounds of chips will Zoey need?
A. 6 pounds
B. 4 pounds
C. 5 pounds
Someone help me
Answers
Answer: C
Step-by-step explanation: 10 times 1/2
Answer:
C. 5 Pounds
Step-by-step explanation:
Total of 10 friends divide that by 2 you get five so you would do 5 times to would be 10 (sorry if i explained that weirdly)
wa Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible. (12,4), y=-3x-9
Answers
Answer:
Step-by-step explanation:
y = 3x + 2
We are given that the line we are trying to find is perpendicular to the line y = -3x - 9. This means that the slope of our line is the negative reciprocal of the slope of the given line, which is -(-3) = 3.
Since the point (12, 4) lies on the line, we can use the point-slope formula to find the equation of the line. The point-slope formula is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the line.
Substituting the values into the point-slope formula, we get:
y - 4 = 3(x - 12)
Simplifying, we get:
y = 3x - 36
This is the equation of the line in slope-intercept form. Therefore, the equation of the line that contains the point (12, 4) and is perpendicular to the line y = -3x - 9 is y = 3x - 36.
if the simple interest on $5000 for 5 years is $1500 then what is the interest rate?
Answers
Answer:
6%
Step-by-step explanation:
Simple interest: A = P(1 + rt)
Solve for r: r = (1/t)((A/P) - 1)
Given:
A = $1500 + $5000 = $6500
P = $5000
t = 5 yrs
r = (1/5)((6500/5000) - 1)
= (1/5)(0.3)
= 0.06
0.06 = 6%
The length of the observable universe is.
880,000,000,000,000,000,000,000 kilometers across.
Imagine you work at NASA and must use this number in
calculations. Why might this befchallenging?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Organizations like NASA who explore space and planets often have to deal with measurement of very long distances such as the one stated above. The Major challenge with the distance written in the format expressed above is the difficulty to read, state or use in mathematical calculations as it is too explicit. A more effective method is to express this distance in standard format and more suitable long distant units such as miles.
For instance;
880,000,000,000,000,000,000,000 kilometers could be expressed as in standard form as ;
8.8 * 10^23 km
The regression line is the line that: Group of answer choices minimizes error in predicting scores on the dependent variable. is the mean of the dependent variable. minimizes error in predicting scores on the independent variable. minimizes the correlation coefficient.
Answers
The regression line is the line that minimizes error in predicting scores on the dependent variable.
Regression analysis is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. The regression line is a straight line that best fits the data and is used to make predictions about the dependent variable based on the values of the independent variable(s).
The line is called the regression line because it is used to estimate the regression equation, which represents the relationship between the variables.
The regression line is determined by minimizing the sum of the squared differences between the observed values of the dependent variable and the predicted values of the dependent variable based on the independent variable(s). In other words, the line is chosen to minimize the error in predicting the values of the dependent variable.
This is why the regression line is also known as the line of best fit or the least squares line.
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Lin is comparing the graph of two functions g and f. The function g
is given by g(x) = f(x - 2). Lin thinks the graph of g will be the same as
the graph of f, translated to the left by 2. Do you agree with Lin? Explain
your reasoning.
Answers
Lin is correct in thinking that the graph of g will be the same as the graph of f, translated to the left by 2 units.
The function g(x) = f(x - 2) is obtained by shifting the graph of f to the right by 2 units, which means that the point (a, f(a)) on the graph of f is mapped to the point (a - 2, f(a)) on the graph of g. Therefore, the shape of the graph of f remains the same, but its position is shifted to the right by 2 units to obtain the graph of g.
This can be seen by considering the effect of the transformation on the key features of the graph of f, such as its intercepts, maxima, and minima. For example, if f has a maximum at x = c, then g will have a maximum at x = c + 2. Similarly, if f intersects the x-axis at x = d, then g will intersect the x-axis at x = d + 2.
Therefore, Lin's reasoning is correct, and the graph of g will be the same as the graph of f, translated to the left by 2 units.
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Determine the relationship between the two triangles and whether or not they ca
proven to be
can be
congruent.
Answers
Answer:
They are congruent.
Step-by-step explanation:
The have the same side length, as shown by the marking on the side next to the double marked angle and across from single marked angle. They have the same angle measures located in the same places as well. They are congruent as proven by shape, angle measures, and side length.
the fraud triangle indicates which of the following condition(s) exist for a fraud to be perpetrated?
Answers
The fraud triangle is a model that describes the three key factors that must be present for fraud to occur: opportunity, rationalization, and pressure.
These factors are often represented as the three sides of a triangle, with fraud being the result at the center.
Opportunity refers to the ability of an individual to commit fraud, either due to a lack of internal controls or the ability to override existing controls. Rationalization refers to the mental process by which an individual justifies the fraudulent behavior to themselves, often by convincing themselves that it is not really wrong or that they have a valid reason for doing it. Pressure refers to the external factors that motivate an individual to commit fraud, such as financial difficulties, job insecurity, or a desire to meet performance targets.
In summary, the fraud triangle indicates that all three conditions of opportunity, rationalization, and pressure must be present for fraud to be perpetrated.
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PLS HELP : A school chess club needs to raise at least $750 to attend a state competition. The club has already raised $400 and there are 4 months remaining until the competition. Which inequality and statement can be used to determine the dollar amount the club will need to raise during the remaining months?
Answers
Answer:
400+4n ≥ 750; The club will need to raise an average of $87.50 or more per month.
What is 3 3/8+ 5/12=_____.Plz tell me!
Answers
Answer:
3 19/24
Step-by-step explanation:
Help fast
Find all values of x that make the equation true.
Answers
Answer:
x=10
Step-by-step explanation:
Guido tiene la cuarta parte de la edad de su padre Andrés y el triple de la edad de su hermano David. ¿Qué edad tiene cada uno, si sus edades suman 48 años?
Answers
Answer:
Guido tiene 9 años, Andrés tiene 36 años y David tiene 3 años.
Step-by-step explanation:
Con la información proporcionada, sabes que la edad de los tres suma 48, lo que se puede expresar como:
x+y+z=48, donde:
x es la edad de Guido
y es la edad de Andrés
z es la edad de David
Además, de acuerdo al enunciado puedes decir que la edad del papá Andrés es cuatro veces la edad de Guido y que la edad de David es la tercera parte de la edad de Guido y puedes escribir las siguientes ecuaciones:
y=4x
z=x/3
Ahora puedes reemplazar estas dos ecuaciones en la primera y despejar x:
x+4x+x/3=48
5x+x/3=48
16x/3=48
16x=48*3
16x=144
x=144/16
x=9
Después, puedes reemplazar el valor de x en y=4x para encontrar el valor de y:
y=4x
y=4*(9)
y=36
Finalmente, debes reemplazar el valor de x en z=x/3 para encontrar el valor de z:
z=x/3
z=9/3
z=3
De acuerdo a esto, Guido tiene 9 años, Andrés tiene 36 años y David tiene 3 años.
What is an example of multi stage sampling?
Answers
Multistage sampling is a probability sampling technique that involves sampling in stages or multiple steps. In this technique, a large population is divided into smaller subgroups, and then a random sample is selected from each subgroup.
Here is an example of multistage sampling:
Suppose we want to conduct a study on the prevalence of a certain disease among high school students in a particular country. The population of high school students in the country is very large, so it is not feasible to sample all of them. Instead, we can use multistage sampling to select a representative sample.
In the first stage, we randomly select a certain number of schools from different regions of the country. Let's say we select 20 schools.
In the second stage, we randomly select a certain number of classes from each of the selected schools. Let's say we select 2 classes from each of the 20 schools, resulting in a total of 40 classes.
In the third stage, we randomly select a certain number of students from each of the selected classes. Let's say we select 10 students from each of the 40 classes, resulting in a total of 400 students.
This process of selecting a sample in stages is an example of multistage sampling. By selecting schools, classes, and students in a random and systematic way, we can obtain a representative sample of high school students in the country, which can be used to estimate the prevalence of the disease.
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If you bought a stock last year for a price of $147, and it has risen 17.9% since then, how much is the stock worth now, to the nearest cent
Answers
Answer:
This is an percentage question, meaning you have to calculate the percentage rise.
1) Do 147 * 17.9% (Which equals to 26.3 [1.d.p.])
2) 26.3 is the answer
Hope it helps! :D
Select the correct answer.
What is the range of the function f(x) = 4x + 9, given the domain D={-4,-2,0, 2}?
Answers
Given:
The function is
\(f(x)=4x+9\)
Domain = {-4, -2, 0, 2}
To find:
The range of the given function for the given domain.
Solution:
We know that domain is the set of input values and range is the set of output values.
We have, \(f(x)=4x+9\) and domain = {-4, -2, 0, 2}.
Putting x=-4 in the given function, we get
\(f(-4)=4(-4)+9\)
\(f(-4)=-16+9\)
\(f(-4)=-7\)
Putting x=-2 in the given function, we get
\(f(-2)=4(-2)+9\)
\(f(-2)=-8+9\)
\(f(-2)=1\)
Putting x=0 in the given function, we get
\(f(0)=4(0)+9\)
\(f(0)=0+9\)
\(f(0)=9\)
Putting x=2 in the given function, we get
\(f(2)=4(2)+9\)
\(f(2)=8+9\)
\(f(2)=17\)
The output values are -7, 1, 9, 17. So, the range of the function f(x) for the given domain is {-7, 1, 9, 17}.
Therefore, the correct option is D.
You earn $15 an hour tutoring and $9 an hour working at the Sippy Drink. You can tutor a maximum of 10 hours a week. You have to put in at least 20 hours a week at the Sippy Drink to keep your job there. You can't work more than 40 hours a week. how many hours should you work at each job to earn the maximum amount of money a week?
Answers
Answer:
5hours
Step-by-step explanation:
1 week =7 days
10 hr +20hr = 30 hrs
If you work 4hrs a wee k you will achieve only 28hrs of work so you will have to work for 5hrs to achieve 35hrs of work which is still within the bracket of 40hrs of work
In each job you will work for 2hours 30
minute
Each day you will earn $60.00
At tutoring you get $37.50
At sippy drink you will get $22.50
In a week you will get a maximum of $420.00
What is the value of f(4) for the function described in the table?
Answers
f(4)
In the table it shows us that 4=16
Let u={natural numbers less than 24} P={prime numbers less than 24} Find the elements of P
Answers
Explanation
In mathematics set is any collection of objects (elements), which may be mathematical or not.
in this case, we have two set
a)u={natural numbers less than 24}
\(\begin{gathered} u=(0,24)\rightarrow interval\text{ notation} \\ \end{gathered}\)b) prime numbers less than 24}:
if a number is divisible only by itself and by 1, then it is prime
so
the set ot prime number less than 24 is
\(P=\lbrace2,3,5,7,11,13,17,19,23\rbrace\)I hope this helps you